No-scale N=4 supergravity coupled to Yang-Mills: the scalar potential and super-Higgs effect

TL;DR

This paper derives the scalar potential in a type IIB orientifold with fluxes and non-abelian branes, revealing a positive semidefinite potential with a rich moduli space and discussing implications for the super-Higgs mechanism.

Contribution

It provides the explicit form of the scalar potential in N=4 supergravity coupled to Yang-Mills with fluxes and non-abelian branes, highlighting the structure of the moduli space and vacuum properties.

Findings

Potential is positive semidefinite with zero cosmological constant in certain vacua.

Moduli space includes three radial moduli and RR scalars forming coset spaces.

Discussion of the super-Higgs mechanism within this framework.

Abstract

We derive the scalar potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non abelian brane coordinates. N=4 supergravity predicts a positive semidefinite potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR scalars which complete three copies of the coset (U(1,1+n)/U(1)\otimes U(1+n)), together with 6n D3-branes coordinates, n being the rank of the gauge group G. Implications for the super Higgs mechanism are also discussed.